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labwork [276]
3 years ago
8

A planet has a circular orbit around a star. It is a distance of 65,000,000 km from the centre of the star. It orbits at an aver

age speed of 65,000 km/h. How many Earth days does it take the planet to orbit the star? Give your answer to 2 sf.​
Mathematics
1 answer:
guapka [62]3 years ago
8 0

Answer:

Step-by-step explanation:

Orbit = 2*pi * r

r = 65000000 km

Orbit = 65000000 * 2 * 3.14

Orbit = 406 200 000             km

d = 406 200 000

s = speed = 65000 km / hr

t = time = d / s

t = 406,000,000 / 65000

t = 6280 hours.

1 day = 24 hours.

t = 6280 / 24 = 261.67 days

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Maksim231197 [3]
The rate of change is 8/6.
4 0
3 years ago
The Johnson twins were born nine years after their older sister. This year, the product of the three siblings ages is exactly 18
KATRIN_1 [288]

Answer: The age of the twins is 10 years.

Step-by-step explanation:

Suppose the age of older sister be x

Let the age of twins sister be x-9, as they are born after 9 years.

Product of their ages be

x(x-9)(x-9)\\\\=x(x^2-18x+81)\\\\=x^3-18x^2+81x

Sum of their ages will be

x+x-9+x-9\\\\=3x-18

According to question,

1861+3x-18=x^3-18x^2+81x\\\\x^3-18x^2+81x-3x+18-1861=0\\\\x^3-18x^2+78x-1843=0\\\\x=19

So, Age of older sister will be 19 years.

Age of the twins will be

19-9=10\ years

Hence, the age of the twins is 10 years.

3 0
3 years ago
Given g(x)=8x+3 find the following g(-1) and g(2a+1)
Degger [83]

Answer:

g(-1) = -5

g(2a+1) = 16a+11

Step-by-step explanation:

Substitute the given value into the function and evaluate.

So for g(x) = 8x+3

You substitute g(-1)

So g(-1) = 8(-1)+3

That is how you get -5

Then g(2a+1)

So g(2a+1) = 8(2a+1)+3

Thats how you get 16a+11

Hope this helps. Mark as brainlist

4 0
3 years ago
PLEASE HELP ASAP!!
Nitella [24]

Answer:

The radius of a sphere is 2 millimeters

The surface area of a sphere is 50.24 square millimeters.

The circumference of the great circle of a sphere is 12.56  millimeters.

Step-by-step explanation:

<u><em>Verify each statement</em></u>

case A) The radius of a sphere is 8 millimeters

The statement is false

we know that

The volume of the sphere is equal to

V=\frac{4}{3}\pi r^{3}

we have

V=100.48/3\ mm^{3}

\pi =3.14

substitute and solve for r

100.48/3=\frac{4}{3}(3.14)r^{3}

r^{3}=(100.48)/(4*3.14)

r=2\ mm    

case B) The radius of a sphere is 2 millimeters

The statement is True

(see the case A)

case C) The circumference of the great circle of a sphere is 9.42 square millimeters  

The statement is false

The units of the circumference is millimeters not square millimeters

The circumference is equal to

C=2\pi r

we have

r=2\ mm  

\pi =3.14

substitute

C=2(3.14)(2)

C=12.56\ mm

case D) The surface area of a sphere is 50.24 square millimeters.

The statement is True

Because

The surface area of the sphere is equal to

SA=4\pi r^{2}

we have

r=2\ mm  

\pi =3.14

substitute

SA=4(3.14)(2)^{2}

SA=50.24\ mm^{2}

case E)  The circumference of the great circle of a sphere is 12.56  millimeters.  

The statement is true

see the case C

case F) The surface area of a sphere is 25.12 square millimeters

The statement is false

because the surface area of the sphere is SA=50.24\ mm^{2}

see the case D

7 0
3 years ago
Read 2 more answers
Ms. Wall will roll a dice. What is<br><br> the probability that she will roll an even number?
Sergeu [11.5K]

Answer:

50%

Step-by-step explanation:

half of the numbers on dice are even

5 0
2 years ago
Read 2 more answers
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